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Finding the Fourth Proportional to 83,813.02, 125,727.13 and 27,653.29

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Solution

The fourth proportional to 83,813.02, 125,727.13 and 27,653.29 is: 41,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.02 : 125,727.13 = 27,653.29 : x
  2. Step 2: Convert to fraction form
    83,813.02/125,727.13 = 27,653.29/x
  3. Step 3: Cross multiply
    83,813.02x = 125,727.13 × 27,653.29
  4. Step 4: Simplify right side
    83,813.02x = 3,476,768,786.76
  5. Step 5: Solve for x
    x = 3,476,768,786.76/83,813.02
  6. Step 6: Final answer
    x = 41,482.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.